Respuesta :

The answer is 14.09 centimeters

The cosine of the shown angle [tex] 15^o [/tex] is

[tex] \cos (15^o )=\frac{FG}{EG} \\
\cos (15^o )=\frac{13.61}{EG} \\
EG=\frac{13.61}{\cos (15^o )} \\
EG=14.09 \;cm [/tex]